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Finding the Fourth Proportional to 83,965.61, 115,852.68 and 47,658.98

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Solution

The fourth proportional to 83,965.61, 115,852.68 and 47,658.98 is: 65,758.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,965.61 : 115,852.68 = 47,658.98 : x
  2. Step 2: Convert to fraction form
    83,965.61/115,852.68 = 47,658.98/x
  3. Step 3: Cross multiply
    83,965.61x = 115,852.68 × 47,658.98
  4. Step 4: Simplify right side
    83,965.61x = 5,521,420,848.70
  5. Step 5: Solve for x
    x = 5,521,420,848.70/83,965.61
  6. Step 6: Final answer
    x = 65,758.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.